Suppose that the index model for stocks A and B is estimated from excess returns with the following results:

$R_A=3\mathrm{.}20\%+1\mathrm{.}10R_M+e_A$

$R_B=-1\mathrm{.}40\%+1\mathrm{.}25R_M+e_B$

${}_M=30\%$;$R-$square $A=0\mathrm{.}28$;$R-$square $B=0\mathrm{.}12$

Assume you create a portfolio $Q,$ with investment proportions of $0\mathrm{.}40$ in a risky portfolio $P,0\mathrm{.}35$ in the market index, and $0\mathrm{.}25$ in T$-$bill.

Portfolio $P$ is composed of $70\%$ Stock A and $30\%$ Stock $B.$

Required:

a$.$ What is the standard deviation of portfolio $Q?$

Note: Calculate using numbers in decimal form, not percentages. For example use $"20"$ for calculation if standard deviation is

provided as $20\%.$ Do not round intermediate calculations. Round your answer to $2$ decimal places.

b$.$ What is the beta of portfolio Q$?$

Note: Calculate using numbers in decimal form, not percentages. For example use $"20"$ for calculation if standard deviation is

provided as $20\%.$ Do not round intermediate calculations. Round your answer to $2$ decimal places.

c$.$ What is the "firm$-$specific" risk of portfolio $Q?$

Note: Calculate using numbers in decimal form, not percentages. For example use $"20"$ for calculation if standard deviation is

provided as $20\%.$ Do not round intermediate calculations. Round your answer to $4$ decimal places.

d$.$ What is the covariance between the portfolio and the market index?

Note: Calculate using numbers in decimal form, not percentages. For example use $"20"$ for calculation if standard deviation is

provided as $20\%.$ Do not round intermediate calculations. Round your answer to $2$ decimal places.